Results 31 to 40 of about 1,532 (136)
On Some Structural Components of Nilsolitons
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 In this paper, we study nilpotent Lie algebras that admit nilsoliton metric with simple pre‐Einstein derivation. Given a Lie algebra η, we would like to compute as much of its structure as possible. The structural components we consider in this study are the structure constants, the index, and the rank of the nilsoliton derivations.
Hulya Kadioglu, Mustafa Inc
wiley +1 more source
On the structure of complex solvmanifolds [PDF]
Journal of Differential Geometry, 1988 A connected complex space X is called a solvmanifold if there is a connected complex solvable Lie group G which acts holomorphically and transitively on it. The aim of the paper is to study two classes of solvmanifolds: i) X is Kähler, ii) X is separable by analytic hypersurfaces.
Oeljeklaus, Karl, Richthofer, Wolfgang
openaire +3 more sources
Foliation-preserving Maps Between Solvmanifolds [PDF]
Geometriae Dedicata, 1998 For i = 1,2, let Gamma_i be a lattice in a simply connected, solvable Lie group G_i, and let X_i be a connected Lie subgroup of G_i. The double cosets Gamma_igX_i provide a foliation F_i of the homogeneous space Gamma_i\G_i. Let f be a continuous map from Gamma_1\G_1 to Gamma_2\G_2 whose restriction to each leaf of F_1 is a covering map onto a leaf of ...
Holly Bernstein, Dave Witte
openalex +6 more sources
SMALL COVER, INFRA-SOLVMANIFOLD AND CURVATURE [PDF]
, 2011 It is shown that a small cover (resp. real moment-angle manifold) over a simple polytope is an infra-solvmanifold if and only if it is diffeomorphic to a real Bott manifold (resp. flat torus).
S. Kuroki, M. Masuda, Li Yu
semanticscholar +1 more source
On Kodaira dimension of almost complex 4-dimensional solvmanifolds without complex structures [PDF]
International Journal of Mathematics, 2020 The aim of this paper is to continue the study of Kodaira dimension for almost complex manifolds, focusing on the case of compact [Formula: see text]-dimensional solvmanifolds without any integrable almost complex structure.
A. Cattaneo +2 more
semanticscholar +1 more source
Invariant solutions to the Strominger system and the heterotic equations of motion [PDF]
, 2017 We construct many new invariant solutions to the Strominger system with respect to a 2-parameter family of metric connections $\nabla^{\varepsilon,\rho}$ in the anomaly cancellation equation.
Otal, A., Ugarte, L., Villacampa, R.
core +4 more sources
An extention of Nomizu’s Theorem –A user’s guide–
Complex Manifolds, 2016 For a simply connected solvable Lie group G with a lattice Γ, the author constructed an explicit finite-dimensional differential graded algebra A*Γ which computes the complex valued de Rham cohomology H*(Γ\G, C) of the solvmanifold Γ\G.
Kasuya Hisashi
doaj +1 more source
An averaging formula for Nielsen numbers on infra-solvmanifolds [PDF]
Journal of Fixed Point Theory and Applications, 2020 Until now only for special classes of infra-solvmanifolds, namely, infra-nilmanifolds and infra-solvmanifolds of type ( R ), there was a formula available for computing the Nielsen number of a self-map on those manifolds.
K. Dekimpe, Iris van Den Bussche
semanticscholar +1 more source
Examples of solvmanifolds without LCK structures
Complex Manifolds, 2018 The purpose in this paper is to construct solvmanifolds without LCK structures such that the complex structure is left ...
Sawai Hiroshi
doaj +1 more source
Non-formal co-symplectic manifolds [PDF]
, 2014 We study the formality of the mapping torus of an orientation-preserving diffeomorphism of a manifold. In particular, we give conditions under which a mapping torus has a non-zero Massey product.
Bazzoni, Giovanni +2 more
core +2 more sources